(b) Use the formula in part (a) to find the distance from the point P(1, 1, 1) to the line through Q(0, 8, 7) and R(-1, 2, 6). V219 V 38

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter10: Analytic Geometry
Section10.5: Equations Of Lines
Problem 47E
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(b) Use the formula in part (a) to find the distance from the point P(1, 1, 1) to the line through Q(0, 8, 7) and R(-1, 2, 6).
V219
V 38
Transcribed Image Text:(b) Use the formula in part (a) to find the distance from the point P(1, 1, 1) to the line through Q(0, 8, 7) and R(-1, 2, 6). V219 V 38
|a x b|
Let P be a point not on the line L that passes through the points Q and R. Show that the distance d from the point P to the line L is d =
|a|
where a = QR and b = QP.
Transcribed Image Text:|a x b| Let P be a point not on the line L that passes through the points Q and R. Show that the distance d from the point P to the line L is d = |a| where a = QR and b = QP.
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